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# Data Statistics in Calc

Use the data statistics in Calc to perform complex data analysis

To work on a complex statistical or engineering analysis, you can save steps and time by using Calc Data Statistics. You provide the data and parameters for each analysis, and the set of tools uses the appropriate statistical or engineering functions to calculate and display the results in an output table.

## Mostraxe

Create a table with data sampled from another table.

Para acceder a esta orde...

Choose Data - Statistics - Sampling

Sampling allows you to pick data from a source table to fill a target table. The sampling can be random or in a periodic basis.

Sampling is done row-wise. That means, the sampled data will pick the whole line of the source table and copy into a line of the target table.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Método de mostraxe

Random: Picks exactly Sample Size lines of the source table in a random way.

Sample size: Number of lines sampled from the source table.

Periodic: Picks lines in a pace defined by Period.

Period: the number of lines to skip periodically when sampling.

### Exemplo

Os datos seguintes serán usados como exemplo de mostraxe dunha táboa de orixe:

| A | B | C
1 | 11 | 21 | 31
2 | 12 | 22 | 32
3 | 13 | 23 | 33
4 | 14 | 24 | 34
5 | 15 | 25 | 35
6 | 16 | 26 | 36
7 | 17 | 27 | 37
8 | 18 | 28 | 38
9 | 19 | 29 | 39

Sampling with a period of 2 will result in the following table:

12 | 22 | 32
14 | 24 | 34
16 | 26 | 36
18 | 28 | 38

## Estatísticas descritivas

Fill a table in the spreadsheet with the main statistical properties of the data set.

Para acceder a esta orde...

Choose Data - Statistics - Descriptive Statistics

The Descriptive Statistics analysis tool generates a report of univariate statistics for data in the input range, providing information about the central tendency and variability of your data.

For more information on descriptive statistics, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

Os datos seguintes serán usados como exemplo

| A | B | C
1 | Maths | Physics | Biology
2 | 47 | 67 | 33
3 | 36 | 68 | 42
4 | 40 | 65 | 44
5 | 39 | 64 | 60
6 |  | 38 | 43
7 | 47 | 84 | 62
8 | 29 | 80 | 51
9 | 27 | 49 | 40
10 | 57 | 49 | 12
11 | 56 | 33 | 60
12 | 57 |  |
13 | 26 |  |

The following table displays the results of the descriptive statistics of the sample data above.

| Columna | Columna | Columna
Media | 41.9090909091 | 59.7 | 44.7
Standard Error | 3.5610380138 | 5.3583786934 | 4.7680650629
Modo | 47 | 49 | 60
MEDIANA | 40 | 64.5 | 43.5
Varianza | 139.4909090909 | 287.1222222222 | 227.3444444444
Standard Deviation | 11.8106269559 | 16.944681237 | 15.0779456308
Kurtosis | -1.4621677981 | -0.9415988746 | 1.418052719
Skewness | 0.0152409533 | -0.2226426904 | -0.9766803373
Intervalo | 31 | 51 | 50
Mínimo | 26 | 33 | 12
Máximo | 57 | 84 | 62
Suma | 461 | 597 | 447
Conta | 11 | 10 | 10

## Análise de varianza (ANOVA)

Produces the analysis of variance (ANOVA) of a given data set

Para acceder a esta orde...

Choose Data - Statistics - Analysis of Variance (ANOVA)

ANOVA is the acronym for ANalysis Of VAriance. This tool produces the analysis of variance of a given data set

For more information on ANOVA, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Tipo

Select if the analysis is for a single factor or for two factor ANOVA.

### Parámetros

Alpha: the level of significance of the test.

Rows per sample: Define how many rows a sample has.

### Exemplo

Os datos seguintes serán usados como exemplo

| A | B | C
1 | Maths | Physics | Biology
2 | 47 | 67 | 33
3 | 36 | 68 | 42
4 | 40 | 65 | 44
5 | 39 | 64 | 60
6 |  | 38 | 43
7 | 47 | 84 | 62
8 | 29 | 80 | 51
9 | 27 | 49 | 40
10 | 57 | 49 | 12
11 | 56 | 33 | 60
12 | 57 |  |
13 | 26 |  |

The following table displays the results of the analysis of variance (ANOVA) of the sample data above.

ANOVA - Single Factor |  |  |  |  |
Alfa: | 0.05 |  |  |  |
Grupos | Conta | Suma | Media | Varianza |
Columna | 11 | 461 | 41.9090909091 | 139.4909090909 |
Columna | 10 | 597 | 59.7 | 287.1222222222 |
Columna | 10 | 447 | 44.7 | 227.3444444444 |
Source of Variation | SS | df | ms | F | P-value | F-critical
Entre grupos | 1876.5683284457 | 2 | 938.2841642229 | 4.3604117704 | 0.0224614952 | 3.340385558
Dentro de grupos | 6025.1090909091 | 28 | 215.1824675325 |  |
Total | 7901.6774193548 | 30 |  |  |

## Correlación

Calcula a correlación entre dous conxuntos de datos numéricos.

Para acceder a esta orde...

Escolla Datos - Estatísticas - Correlación

O coeficiente de correlación (un valor entre -1 e +1) indica a forza coa que se relacionan dúas variábeis entre si. Pódese empregar a función CORREL ou Estatísticas de datos para atopar o coeficiente de correlación entre dúas variábeis.

Un coeficiente de correlación de +1 indica unha correlación positiva perfecta.

Un coeficiente de correlación de -1 indica unha correlación negativa perfecta

For more information on statistical correlation, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

Os datos seguintes serán usados como exemplo

| A | B | C
1 | Maths | Physics | Biology
2 | 47 | 67 | 33
3 | 36 | 68 | 42
4 | 40 | 65 | 44
5 | 39 | 64 | 60
6 |  | 38 | 43
7 | 47 | 84 | 62
8 | 29 | 80 | 51
9 | 27 | 49 | 40
10 | 57 | 49 | 12
11 | 56 | 33 | 60
12 | 57 |  |
13 | 26 |  |

A táboa seguinte mostra os resultados da correlación dos datos de exemplo anteriores.

Correlación | Columna | Columna | Columna
Columna | 1 |  |
Columna | -0.4029254917 | 1 |
Columna | -0.2107642836 | 0.2309714048 | 1

## Covarianza

Calcula a covarianza de dous conxuntos de datos numéricos.

Para acceder a esta orde...

Escolla Datos - Estatísticas - Covarianza

A covarianza é unha medida de canto cambian xuntas dúas variábeis aleatorias.

For more information on statistical covariance, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

Os datos seguintes serán usados como exemplo

| A | B | C
1 | Maths | Physics | Biology
2 | 47 | 67 | 33
3 | 36 | 68 | 42
4 | 40 | 65 | 44
5 | 39 | 64 | 60
6 |  | 38 | 43
7 | 47 | 84 | 62
8 | 29 | 80 | 51
9 | 27 | 49 | 40
10 | 57 | 49 | 12
11 | 56 | 33 | 60
12 | 57 |  |
13 | 26 |  |

A táboa seguinte mostra os resultados da covarianza dos datos de exemplo anteriores.

Covarianza | Columna | Columna | Columna
Columna | 126.8099173554 |  |
Columna | -61.4444444444 | 258.41 |
Columna | -32 | 53.11 | 204.61

## Suavizado exponencial

Resultados en series de datos suavizados

Para acceder a esta orde...

Escolla Datos - Estatísticas - Suavizado exponencial

O suavizado exponencial é unha técnica de filtrado que produce resultados suavizados ao ser aplicada a un conxuntos de datos. Emprégase en moitos dominios, como no mercado de valores, na economía e en medidas de mostras.

For more information on exponential smoothing, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Parámetros

Smoothing Factor: A parameter between 0 and 1 that represents the damping factor Alpha in the smoothing equation.

### Exemplo

The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.

| A | B
1 | 1 | 0
2 | 0 | 0
3 | 0 | 1
4 | 0 | 0
5 | 0 | 0
6 | 0 | 0
7 | 0 | 0
8 | 0 | 0
9 | 0 | 0
10 | 0 | 0
11 | 0 | 0
12 | 0 | 0
13 | 0 | 0

O suavizado resultante aparece abaixo cun factor de suavizado de 0,5:

Alfa: |
0.5 |
Columna | Columna
1 | 0
1 | 0
0.5 | 0
0.25 | 0.5
0.125 | 0.25
0.0625 | 0.125
0.03125 | 0.0625
0.015625 | 0.03125
0.0078125 | 0.015625
0.00390625 | 0.0078125
0.001953125 | 0.00390625
0.0009765625 | 0.001953125
0.0004882813 | 0.0009765625
0.0002441406 | 0.0004882813

## Media móbil

Calcula a media móbil dunha serie temporal

Para acceder a esta orde...

Escolla Datos - Estatísticas - Media móbil

For more information on the moving average, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Parámetros

Intervalo: O número de mostras empregado no cálculo da media móbil.

### Exemplo

The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.

| A | B
1 | 1 | 0
2 | 0 | 0
3 | 0 | 1
4 | 0 | 0
5 | 0 | 0
6 | 0 | 0
7 | 0 | 0
8 | 0 | 0
9 | 0 | 0
10 | 0 | 0
11 | 0 | 0
12 | 0 | 0
13 | 0 | 0

### Resultados da media móbil:

Columna | Columna
#N/A | #N/A
0.3333333333 | 0.3333333333
0 | 0.3333333333
0 | 0.3333333333
0 | 0
0 | 0
0 | 0
0 | 0
0 | 0
0 | 0
0 | 0
0 | 0
#N/A | #N/A

## Paired t-test

Calculates the paired t-Test of two data samples.

Para acceder a esta orde...

Choose Data - Statistics - Paired t-test

A paired t-test is any statistical hypothesis test that follows a Student's t distribution.

For more information on paired t-tests, refer to the corresponding Wikipedia article.

### Datos

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

The following table has two data sets.

| A | B
1 | 28 | 19
2 | 26 | 13
3 | 31 | 12
4 | 23 | 5
5 | 20 | 34
6 | 27 | 31
7 | 28 | 31
8 | 14 | 12
9 | 4 | 24
10 | 0 | 23
11 | 2 | 19
12 | 8 | 10
13 | 9 | 33

### Results for paired t-test:

The following table shows the paired t-test for the data series above:

paired t-test |  |
Alfa: | 0.05 |
Hypothesized Mean Difference | 0 |
| Variábel 1 | Variábel 2
Media | 16.9230769231 | 20.4615384615
Varianza | 125.0769230769 | 94.4358974359
Observations | 13 | 13
Pearson Correlation | -0.0617539772 |
Observed Mean Difference | -3.5384615385 |
Varianza das diferenzas | 232.9358974359 |
df | 12 |
t Stat | -0.8359262137 |
P (T<=t) one-tail | 0.2097651442 |
t Critical one-tail | 1.7822875556 |
P (T<=t) two-tail | 0.4195302884 |
t Critical two-tail | 2.1788128297 |

## F-test

Calculates the F-Test of two data samples.

Para acceder a esta orde...

Choose Data - Statistics - F-test

A F-test is any statistical test based on the F-distribution under the null hypothesis.

For more information on F-tests, refer to the corresponding Wikipedia article.

### Datos

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

The following table has two data sets.

| A | B
1 | 28 | 19
2 | 26 | 13
3 | 31 | 12
4 | 23 | 5
5 | 20 | 34
6 | 27 | 31
7 | 28 | 31
8 | 14 | 12
9 | 4 | 24
10 | 0 | 23
11 | 2 | 19
12 | 8 | 10
13 | 9 | 33

### Results for F-Test:

The following table shows the F-Test for the data series above:

Ftest |  |
Alfa: | 0.05 |
| Variábel 1 | Variábel 2
Media | 16.9230769231 | 20.4615384615
Varianza | 125.0769230769 | 94.4358974359
Observations | 13 | 13
df | 12 | 12
F | 1.3244637524 |
P (F<=f) right-tail | 0.3170614146 |
F Critical right-tail | 2.6866371125 |
P (F<=f) left-tail | 0.6829385854 |
F Critical left-tail | 0.3722125312 |
P two-tail | 0.6341228293 |
F Critical two-tail | 0.3051313549 | 3.277277094

## Z-test

Calculates the z-Test of two data samples.

Para acceder a esta orde...

Choose Data - Statistics - Z-test

For more information on Z-tests, refer to the corresponding Wikipedia article.

### Datos

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

The following table has two data sets.

| A | B
1 | 28 | 19
2 | 26 | 13
3 | 31 | 12
4 | 23 | 5
5 | 20 | 34
6 | 27 | 31
7 | 28 | 31
8 | 14 | 12
9 | 4 | 24
10 | 0 | 23
11 | 2 | 19
12 | 8 | 10
13 | 9 | 33

### Results for z-Test:

The following table shows the z-Test for the data series above:

z-test |  |
Alfa: | 0.05 |
Hypothesized Mean Difference | 0 |
| Variábel 1 | Variábel 2
Known Variance | 0 | 0
Media | 16.9230769231 | 20.4615384615
Observations | 13 | 13
Observed Mean Difference | -3.5384615385 |
z | #DIV/0! |
P (Z<=z) one-tail | #DIV/0! |
z Critical one-tail | 1.644853627 |
P (Z<=z) two-tail | #DIV/0! |
z Critical two-tail | 1.9599639845 |

## Chi-square test

Calculates the Chi-square test of a data sample.

Para acceder a esta orde...

Choose Data - Statistics - Chi-square Test

For more information on chi-square tests, refer to the corresponding Wikipedia article.

### Datos

Input range: The reference of the range of the data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

### Agrupado por

Select whether the input data has columns or rows layout.

### Exemplo

The following table has two data sets.

| A | B
1 | 28 | 19
2 | 26 | 13
3 | 31 | 12
4 | 23 | 5
5 | 20 | 34
6 | 27 | 31
7 | 28 | 31
8 | 14 | 12
9 | 4 | 24
10 | 0 | 23
11 | 2 | 19
12 | 8 | 10
13 | 9 | 33

### Results for Chi-square Test:

Test of Independence (Chi-Square) |
Alfa: | 0.05
df | 12
P-value | 2.32567054678584E-014
Test Statistic | 91.6870055842
Critical Value | 21.0260698175

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